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Finding the Third Proportional to 3,192,514,955,256 and 6,611,326,540,236

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Solution

The third proportional to 3,192,514,955,256 and 6,611,326,540,236 is: 13,691,287,036,781.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,514,955,256 : 6,611,326,540,236 = 6,611,326,540,236 : x
  2. Step 2: Convert to fraction form
    3,192,514,955,256/6,611,326,540,236 = 6,611,326,540,236/x
  3. Step 3: Cross multiply
    3,192,514,955,256x = 6,611,326,540,236 × 6,611,326,540,236
  4. Step 4: Simplify right side
    3,192,514,955,256x = 43,709,638,621,628,918,556,262,400
  5. Step 5: Solve for x
    x = 43,709,638,621,628,918,556,262,400/3,192,514,955,256
  6. Step 6: Final answer
    x = 13,691,287,036,781.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.